KNO scaling as a phase transition of a Feynman-Wilson "gas"

We consider a one-dimensional Feynman-Wilson "gas" as a statistical model for the multiparticle production in hadron-hadron collision. The Ginzburg-Landau probability functional introduced by Scalapino and Sugar not only gives a simple model of rapidity correlations but permits one to study the effect of phase transitions in the system. We show that in the constant field approximation, there is KNO scaling at very large energies. We also investigate the fluctuations around the mean field for T<T_c and T > T_c. When T≅T_c, there is a first-order phase transition and the probability distribution has KNO scaling. We argue that the onset of KNO scaling is an indication of a transition of a hadronic matter to a quark-gluon plasma. Finally we give predictions for the observable quantities such as multiplicities, moments and two-particle correlations.